Edge preserving filtering by combining nonlinear mean and medianfilters

  • Authors:
  • X. Nie;R. Unbehauen

  • Affiliations:
  • Lehrstuhl fuer Allgemeine & Theor. Elektrotech., Erlangen-Nurnberg Univ.;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1991

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Abstract

A very general class of nonlinear filters, called mapping order-statistics filters (MOSFs), is introduced. A subclass of the MOSFs called Lp-mean median filters (Lp-MMFs) is discussed. The Lp-MMF shows better properties in preserving edges and attenuating positive and negative impulse noise simultaneously than do the nonlinear mean filters. In the analysis of the deterministic properties of the Lp-MMF, the concept of a monotonic trend region is introduced. A necessary condition for a signal to be a root signal is given. This necessary condition is also valid for the known finite-impulse-response median hybrid filter